Radiative Electroweak Breaking with Pseudogoldstone Higgs Doublets
Abstract
We consider a realistic example of supersymmetric grand unification based on
SU(3
)
c
×SU(3
)
L
×SU(3
)
R
in which the electroweak (EW) higgs doublets are `light' as a consequence of the `pseudogoldstone' mechanism. We discuss radiative EW breaking in this model, exploring in particular the `small' (order unity) and `large'
(≈
m
t
/
m
b
)
tanβ
regions by studying the variations of
r(≡
μ
2
1,2
/
μ
2
3
−
−
−
−
−
−
√
)
, where
μ
2
1,2,3
are the well known MSSM parameters evaluated at the GUT scale. For
r
sufficiently close to unity the quantity
tanβ
can be of order unity, but the converse is not always true.